Modeling Real-World Exponential Growth Patterns

A bacteria culture doubles in size every 3 hours. If the initial population is 500, how many bacteria will there be after 12 hours?

• 8000

• 10000

• 2000

• 4000

A car's value decreases by 20% each year. If the car was originally worth $25,000, what will its value be after 3 years?

• $10,000

• $20,000

• $15,000

• $12,800

A tree grows at a rate of 5% per year. If the tree is currently 10 feet tall, how tall will it be after 4 years?

• 13 feet

• 11.5 feet

• 12.16 feet

• 10.5 feet

A savings account earns 6% interest compounded annually. If you deposit $1,000, how much will be in the account after 5 years?

• 1500.00

• 1000.00

• 1338.23

• 1200.00

A viral video is viewed by 1,000 people on the first day and the views double each day. How many views will it have on the 7th day?

• 128000

• 256000

• 64000

• 32000

A population of rabbits increases by 30% each month. If there are currently 200 rabbits, how many will there be after 6 months?

• 742

• 600

• 800

• 500

A smartphone's battery life decreases by 15% each year. If the battery lasts 24 hours when new, how long will it last after 2 years?

• 17.34 hours

• 10 hours

• 15 hours

• 20 hours

A certain species of fish in a lake grows exponentially. If there are 50 fish now and the population doubles every month, how many fish will there be in 5 months?

• 800

• 1600

• 3200

• 400

A town's population is 10,000 and is growing at a rate of 4% per year. What will the population be in 10 years?

• 12000

• 14802

• 13500

• 16000

A certain type of investment grows at a rate of 8% per year. If you invest $2,000, how much will you have after 3 years?

• $2,400.00

• $2,800.00

• $2,000.00

• $2,519.42